What is the Least Common Multiple of 41782 and 41788?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 41782 and 41788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41782 and 41788, than apply into the LCM equation.

GCF(41782,41788) = 2
LCM(41782,41788) = ( 41782 × 41788) / 2
LCM(41782,41788) = 1745986216 / 2
LCM(41782,41788) = 872993108

Least Common Multiple (LCM) of 41782 and 41788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41782 and 41788. First we will calculate the prime factors of 41782 and 41788.

Prime Factorization of 41782

Prime Factorization of 41788

Now multiplying the highest exponent prime factors to calculate the LCM of 41782 and 41788.

LCM(41782,41788) = 2² × 13¹ × 1607¹ × 31¹ × 337¹
LCM(41782,41788) = 872993108